5302540552513 has 2 divisors, whose sum is σ = 5302540552514. Its totient is φ = 5302540552512.

The previous prime is 5302540552511. The next prime is 5302540552549. The reversal of 5302540552513 is 3152550452035.

5302540552513 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5280882132289 + 21658420224 = 2298017^2 + 147168^2 .

It is a cyclic number.

It is not a de Polignac number, because 5302540552513 - 2¹ = 5302540552511 is a prime.

It is a super-2 number, since 2×5302540552513² (a number of 26 digits) contains 22 as substring.

Together with 5302540552511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (5302540552511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2651270276256 + 2651270276257.

It is an arithmetic number, because the mean of its divisors is an integer number (2651270276257).

Almost surely, 2^{5302540552513} is an apocalyptic number.

It is an amenable number.

5302540552513 is a deficient number, since it is larger than the sum of its proper divisors (1).

5302540552513 is an equidigital number, since it uses as much as digits as its factorization.

5302540552513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 450000, while the sum is 40.

The spelling of 5302540552513 in words is "five trillion, three hundred two billion, five hundred forty million, five hundred fifty-two thousand, five hundred thirteen".